• DOI:10.1016/S0375-9601(96)00706-2
Corpus ID: 10580997

Separability of mixed states: necessary and sufficient conditions

@inproceedings{Horodecki1996SeparabilityOM,
  title={Separability of mixed states: necessary and sufficient conditions},
  author={M. Horodecki and P. Horodecki and R. Horodecki},
  year={1996}
}

M. Horodecki, P. Horodecki, R. Horodecki

Published 1996

Mathematics, Physics

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Abstract We provide necessary and sufficient conditions for the separability of mixed states. As a result we obtain a simple criterion of the separability for 2 × 2 and 2 × 3 systems. Here, the positivity of the partial transposition of a state is necessary and sufficient for its separability. However, this is not the case in general. Some examples of mixtures which demonstrate the utility of the criterion are considered.